Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$_m + AB) = determinant ($$I$$_n + BA), where $$I$$_k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right]\]

A. 2

B. 5

C. 8

D. 16

Answer: Option B